Properties of quantum reactivity for a multipartite state

Shahabeddin Mostafanazhad Aslmarand; Warner A. Miller; Tahereh Razaei; Paul M. Alsing; Verinder S. Rana

doi:10.1117/12.2524224

13 May 2019 Properties of quantum reactivity for a multipartite state

Shahabeddin Mostafanazhad Aslmarand, Warner A. Miller, Tahereh Razaei, Paul M. Alsing, Verinder S. Rana

Proceedings Volume 10984, Quantum Information Science, Sensing, and Computation XI; 1098402 (2019) https://doi.org/10.1117/12.2524224
Event: SPIE Defense + Commercial Sensing, 2019, Baltimore, MD, United States

Abstract

We discuss the properties of quantum state reactivity as a measure for quantum correlation. This information geometry-based definition is a generalization of the two qubit construction of Schumacher to multipartite quantum states. It requires a generalization of information distance to information areas as well as to higher-dimensional volumes. The reactivity is defined in the usual chemistry way as a ratio of surface area to volume. The reactivity is an average over all detector settings. We show that this measure posses the key features required for a measure of quantum correlation. We show that it is invariant under local unitary transformations, non{increasing under local operations and classical communication, and monotonic. Its maximum bound can't be obtained using only classical correlation. Furthermore, reactivity is an analytic function of measurement probabilities and easily extendable to higher multipartite states.

Conference Presentation

Citation Download Citation

Shahabeddin Mostafanazhad Aslmarand, Warner A. Miller, Tahereh Razaei, Paul M. Alsing, and Verinder S. Rana "Properties of quantum reactivity for a multipartite state", Proc. SPIE 10984, Quantum Information Science, Sensing, and Computation XI, 1098402 (13 May 2019); https://doi.org/10.1117/12.2524224

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